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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 4, Pages 70–85 (Mi ivm9350)  

This article is cited in 2 scientific papers (total in 2 papers)

Absolute logarithmic norm

A. I. Perov, I. D. Kostrub, O. I. Kleshchina, E. E. Dikarev

Voronezh State University, 1 Universitetskaya sq., Voronezh, 394006 Russia
Full-text PDF (243 kB) Citations (2)
References:
Abstract: The authors introduce and study a new concept—the absolute logarithmic norm—which has much in common with the classical definition of the logarithmic norms, according to S.M. Lozinsky. The developed theory allows to obtain new facts from the theory of Lyapunov stability for systems of linear differential equations with constant coefficients. The presentation of the material relies heavily on the theory undiagnosing nonnegative matrices arising from the theory of Perron–Frobenius for nonnegative matrices.
Keywords: logarithmic norm, Lyapunov stability, the theory of Perron–Frobenius for nonnegative matrices.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00197_а
Russian Science Foundation 14-01-00066
Received: 24.01.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 4, Pages 60–73
DOI: https://doi.org/10.3103/S1066369X18040072
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: A. I. Perov, I. D. Kostrub, O. I. Kleshchina, E. E. Dikarev, “Absolute logarithmic norm”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 4, 70–85; Russian Math. (Iz. VUZ), 62:4 (2018), 60–73
Citation in format AMSBIB
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\paper Absolute logarithmic norm
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2018
\issue 4
\pages 70--85
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2018
\vol 62
\issue 4
\pages 60--73
\crossref{https://doi.org/10.3103/S1066369X18040072}
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Linking options:
  • https://www.mathnet.ru/eng/ivm9350
  • https://www.mathnet.ru/eng/ivm/y2018/i4/p70
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:354
    Full-text PDF :110
    References:60
    First page:17
     
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